Abstract Although lead time variation is common in practice, integrated single-manufacturer multi-buyer model considering this factor is unavailable in the extant literature. This article considers generic distribution of lead times of delivering equal and/or unequal batch (sub-lot) sizes of a lot in developing a synchronised integrated single-manufacturer multi-buyer model. The batch sizes are assumed to be in geometric series. The variables considered in the model are the smallest batch size, total number of batches and number of unequal batch sizes delivered from the manufacturer to buyers. The smallest batch sizes delivered to the buyers are bounded below by 1 and above by the capacity of the transport vehicle. The minimal total cost solution technique to the model is derived by the method of differentiation. Significant minimal total cost reductions by the synchronised flow is illustrated through solutions to some numerical example problems. Sensitivity analyses on increasing costs of transportation, shortage, inventory and increasing mean lead times upon the optimal solution have been performed.

中文翻译：

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制造商 - 买方集成库存模型，具有交付相同和/或不等批量的交货时间的一般分布

摘要 虽然提前期变化在实践中很常见，但考虑到这一因素的集成的单一制造商多买家模型在现有文献中是不可用的。本文考虑了在开发同步集成的单一制造商多买家模型时交付相等和/或不相等批次（子批次）大小的交货时间的一般分布。批量大小假定为几何级数。模型中考虑的变量是从制造商交付给买家的最小批量、总批量和不等批量的数量。交付给买方的最小批量大小以 1 为界，高于 1 以运输车辆的容量为界。模型的最小总成本求解技术是通过微分方法推导出来的。通过对一些数值示例问题的解决方案说明了同步流显着的最小总成本降低。对最优解决方案的运输成本增加、短缺、库存和增加平均提前期进行了敏感性分析。